Complex Analysis and Geometry: International Conference in Honor of Pierre Lelong (Progress in Mathematics)
ISBN-13:
9783764363529
ISBN-10:
3764363525
Edition:
1
Author:
Pierre Dolbeault, A. Iordan, G. Henkin, H. Skoda, J.-M. Trepreau
Publication date:
2000
Publisher:
Birkhäuser Basel
Format:
Hardcover
241 pages
Category:
Geometry & Topology
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9783764363529
ISBN-10:
3764363525
Edition:
1
Author:
Pierre Dolbeault, A. Iordan, G. Henkin, H. Skoda, J.-M. Trepreau
Publication date:
2000
Publisher:
Birkhäuser Basel
Format:
Hardcover
241 pages
Category:
Geometry & Topology
,
Mathematics
Summary
Complex Analysis and Geometry: International Conference in Honor of Pierre Lelong (Progress in Mathematics) (ISBN-13: 9783764363529 and ISBN-10: 3764363525), written by authors
Pierre Dolbeault, A. Iordan, G. Henkin, H. Skoda, J.-M. Trepreau, was published by Birkhäuser Basel in 2000.
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Description
This collection of 18 research papers, dedicated to Pierre Lelong, describes the state of the art on representative problems of complex analysis and geometry. The book opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic functions, closed positive currents, and their further study by other mathematicians. Moreover, a list of eleven open problems is given. All other contributions contain new results related, for example, to the following items: - Capacities, product of positive currents, L2 extension theorems, Bergman kernels and metrics, new properties of convex domains of finite type - Non-compact boundaries of Levi-flat hypersurfaces of C2, compact boundary problems as application of compactly supported measures orthogonal to polynomials, Hartogs' theorem on some open subsets of a projective manifold, Malgrange vanishing theorem with support conditions - Embeddings for 3-dimensional CR-manifolds, geometrization of hypoellipticity, stationary complex curves and complete integrability - Regular polynomial mappings of Ck in complex dynamics, a direct proof of the density of repulsive cycles in the Julia set. The book is aimed at researchers and advanced graduate students in complex and real analysis, algebraic geometry and number theory.
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